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Finding the Fourth Proportional to 3,145.00, 4,340.06 and 1,728.74

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Solution

The fourth proportional to 3,145.00, 4,340.06 and 1,728.74 is: 2,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.00 : 4,340.06 = 1,728.74 : x
  2. Step 2: Convert to fraction form
    3,145.00/4,340.06 = 1,728.74/x
  3. Step 3: Cross multiply
    3,145.00x = 4,340.06 × 1,728.74
  4. Step 4: Simplify right side
    3,145.00x = 7,502,839.15
  5. Step 5: Solve for x
    x = 7,502,839.15/3,145.00
  6. Step 6: Final answer
    x = 2,385.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.